Remarks on Quantizations, Words and R-Matrices

Hilja L. Huru ()
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Hilja L. Huru: University of Tromsø, Department of Mathematics and Statistics

Chapter 8 in Generalized Lie Theory in Mathematics, Physics and Beyond, 2009, pp 89-98 from Springer

Abstract: We consider the monoidal category of modules graded by the monoid of words made from a finite alphabet. The associativity constraints, braidings and quantizations related to the grading are described explicitly. By quantizations of R-matrices in the same manner as braidings we obtain new R-matrices that by construction still satisfy the Yang—Baxter equation.

Keywords: Cohomology Group; Natural Isomorphism; Monoidal Category; Homogeneous Element; Baxter Equation (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-85332-9_8

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DOI: 10.1007/978-3-540-85332-9_8

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